An efficient and flexible computational model for solving the mild slope equation

Tang, Jun; Shen, Yongming; Zheng, Yi; Qiu, Dehong

doi:10.1016/j.coastaleng.2003.12.005

Cited by 18 publications

(11 citation statements)

References 14 publications

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“…(2) and (4), the IITM is used to calculate the transition matrix of the sub-scatterers, and in Eq. (5), the stabilized bi-conjugate gradient iterative method is employed to accelerate the convergence rate [49][50][51]. The single-scattering properties of the original scatterer can be obtained in terms of Eqs.…”

Section: Mbitmentioning

confidence: 99%

Simulation of the scattering properties of a chain-forming triangular prism oceanic diatom

Sun

Kattawar

Yang

et al. 2016

Journal of Quantitative Spectroscopy and Radiative Transfer

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The optical properties of diatom chains in the ocean are studied based on a combination of the many-body iterative T-matrix (MBIT) method and an improved implementation of the ray-by-ray (RBR) geometric optics method. The MBIT, a numerically accurate method, is advantageous for scatterers with linear cells. In contrast to other popular geometric optics methods, the RBR, an approximate method, considers the interference of all outgoing rays. The two methods are verified in comparison with benchmark simulations. The simulation results of diatom chains in a wide size range can be obtained with either or both methods, and each can be applied to any optically soft particle, i.e., in the case when relative refractive index approaches unity.

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Section: Mbitmentioning

confidence: 99%

Simulation of the scattering properties of a chain-forming triangular prism oceanic diatom

Sun

Kattawar

Yang

et al. 2016

Journal of Quantitative Spectroscopy and Radiative Transfer

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“…The incident field is a plane wave propagating along z and polarized along x; see Fig. 1 The iterative method used is GPBICG with the criterion = 10 −6 [10,16]. Notice that as we need to compute the local field at each subunit position for each frequency for a plane wave illumination, we can deduce from this intermediary result the scattering cross section of the sphere versus the frequency in the complex plane with Notice that when β = 0, C ext is computed along the real axis which can also be evaluated with Mie theory.…”

Section: A Dielectric Sphere With Mie Resonancesmentioning

confidence: 99%

“…[14]. We also consider quasiminimal residual variants of the Bi-CGSTAB algorithm called QMRCGSTAB [38] and a method labeled GPBICG which is a refinement of the biconjugate gradient method [10].…”

Section: Appendix: Solution Of the Linear Systemmentioning

confidence: 99%

“…Therefore, the main bottleneck for the computation time is the total number of MVP required in order to achieve the desired level of convergence of the iterative method. One can decrease the number of MVP by choosing an efficient iterative method; for instance we use a combination of the generalized product-type methods based on biconjugate gradient (GPBICG) [10], a good initial value [9] and a preconditoner of Jacobi [11,12], but nevertheless the convergence is still slow.…”

Section: Introductionmentioning

confidence: 99%

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Discrete dipole approximation in time domain through the Laplace transform

et al. 2013

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“…CG has been extremely robust in a wide variety of applications involving both finite differences and finite elements for several kinds of boundary conditions. Some researchers have used BiCGStab [5] , which is efficient when it works but does not guarantee convergence for the governing equation used in CGWAVE.…”

Section: Linear Solversmentioning

confidence: 99%

A direct out-of-core solver for CGWAVE on the Cray XI

Tracy

Oppe

Demirbilek

2004

2004 Users Group Conference (DOD_UGC'04)

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CGWAVE is a general-purpose, state-of-the-art wave-prediction model. It is applicable to the estimation of wave fields in harbors, open coastal regions, coastal inlets, around islands, and around fixed or floating structures. CGWAVE generates a system of simultaneous linear complex equations that are difficult to solve. Some iterative solvers do not converge at all, while others struggle to converge. A direct, banded, out-of-core solver that utilized reordering of the nodes to reduce the size of the bandwidth was written. The solver was then optimized for the US Army Engineer Research and Development Center Major Shared Resource Center (ERDC MSRC) Cray X1. This paper will describe the details of how this work was performed and give performance results on the ERDC MSRC Cray X1. CGWAVECGWAVE [1,2] is a general-purpose, state-of-the-art wave-prediction model. It is applicable to the estimation of wave fields in harbors, open coastal regions, coastal inlets, around islands, and around fixed or floating structures. Thus, the results from CGWAVE can have significant military applications. Figure 1 shows a generic computational domain. Both monochromatic and spectral waves can be simulated with the CGWAVE model. CGWAVE is a finite element model that is interfaced to the Corps of Engineers' Surface-Water Modeling System (SMS) [4] for graphics and efficient creation of finite element mesh generation and other input data.CGWAVE was used to model harbors of military interest in various parts of the world to create a database for use by Department of Defense (DoD) organizations. This information is vital for planning and execution of military operations, training, and exercises. Suitability.CGWAVE is particularly suited for performing wave simulations in regions with arbitrarily shaped (man-made or natural) boundaries and arbitrary depth variations. Intrinsic limitations do not exist on the shape of the domain, the angle of wave incidence, or the degree and direction of wave reflection and scattering that can be modeled.CGWAVE is the DoD's harbor-wave simulation model. It is used (a) in the planning and execution of operations in ports and harbors and (b) design/modification of commercial ports, marinas, and yacht basins. Engineers conducting studies on navigation, channel deepening, and fluid-structure interaction problems can make use of CGWAVE, also. Land Computational domain Open boundary Exterior Incident wave directionFigure 1. Computational domain Governing Equations.CGWAVE is based on the solution to the elliptic mild-slope equation (MSE) for modeling surface-gravity waves in coastal areas. The MSE represents integration over water columns of the three-dimensional Laplace's equation used in the classical potential wave theory. The governing equation is as follows:

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An efficient and flexible computational model for solving the mild slope equation

Cited by 18 publications

References 14 publications

Simulation of the scattering properties of a chain-forming triangular prism oceanic diatom

Simulation of the scattering properties of a chain-forming triangular prism oceanic diatom

Discrete dipole approximation in time domain through the Laplace transform

A direct out-of-core solver for CGWAVE on the Cray XI

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